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Finding the Fourth Proportional to 18.64, 25.77 and 16.21

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Solution

The fourth proportional to 18.64, 25.77 and 16.21 is: 22.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.64 : 25.77 = 16.21 : x
  2. Step 2: Convert to fraction form
    18.64/25.77 = 16.21/x
  3. Step 3: Cross multiply
    18.64x = 25.77 × 16.21
  4. Step 4: Simplify right side
    18.64x = 417.73
  5. Step 5: Solve for x
    x = 417.73/18.64
  6. Step 6: Final answer
    x = 22.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.